What is the answer to 9/x = 3/(2x)+1 ?

The answer to 9/x = 3/(2x)+1 is x= 15/2

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9/x = 3/(2x)+1

\frac{9}{x} = \frac{3}{2 x} + 1

x = \frac{15}{2}

Decimal Notation

x = 7.5

Solution steps

\frac{9}{x} = \frac{3}{2 x} + 1

Multiply by LCM

18 = 3 + 2 x

Switch sides

3 + 2 x = 18

Move

3

to the right side

2 x = 15

Divide both sides by

2

x = \frac{15}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{15}{2}

- \frac{6}{p - 9} = \frac{9}{p + 3}

x, \frac{1}{x} = 0.4

y, x = \frac{y}{1 - y}

\frac{2}{x} - 2 = \frac{12}{7 x}

\frac{3}{x} + \frac{2}{x ^{2}} = 2